Finite Group Databasebeta

← Group #72265193

Character table — Group #72265193

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size1111222222222222224444444488888888888888888888161616161616161616161616161616161616161616161616161616161616161616163232323232323232
order12222222224444444488888888224444444444444444442222444444448888881616161616161616161616161616161644448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-1
χ61111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111
χ71111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ81111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ911111111111111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ1011111111111111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ1111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ1211111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ1311111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ1411111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ1511111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ1611111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ17222222222222222222-2-2-2-2-2-2-2-222222222222200000000000000000000-2-2-2-2-2-2000000000000000000000000
χ18222222222222222222-2-2-2-2-2-2-2-222-2-2-2-222-2-2-2-2000000000000000000002222-2-2000000000000000000000000
χ19222222222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-200000000000000000000-2-22222000000000000000000000000
χ20222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000022-2-222000000000000000000000000
χ2122222-22-2-2-222-2-22-22-222-2-2-22-220000000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000000022-2-2000000002i−2i00
χ2222222-22-2-2-222-2-22-22-222-2-2-22-220000000000002i2i2i2i−2i−2i−2i−2i00000000000000000000000000-2-22200000000−2i2i00
χ2322222-22-2-2-222-2-22-22-222-2-2-22-22000000000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000000022-2-200000000−2i2i00
χ2422222-22-2-2-222-2-22-22-222-2-2-22-22000000000000−2i−2i−2i−2i2i2i2i2i00000000000000000000000000-2-222000000002i−2i00
χ252222-22-22-2-2-2-2222-22-22-22-2-2-2220000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000022-2-20000002i−2i
χ262222-22-22-2-2-2-2222-22-22-22-2-2-2220000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000-2-222000000−2i2i
χ272222-22-22-2-2-2-2222-22-22-22-2-2-222000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000022-2-2000000−2i2i
χ282222-22-22-2-2-2-2222-22-22-22-2-2-222000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000-2-2220000002i−2i
χ292222-2-2-2-2222222-2-2-2-2000000002222-2-2-2-222-2-200000000000000000000000000i2i2−i2−i2i2i2−i2−i2i2−i2i2−i2i2−i2i2−i200000000
χ302222-2-2-2-2222222-2-2-2-2000000002222-2-2-2-222-2-200000000000000000000000000−i2−i2i2i2−i2−i2i2i2−i2i2−i2i2−i2i2−i2i200000000
χ312222-2-2-2-2222222-2-2-2-20000000022-2-222-2-2-2-22200000000000000000000000000i2i2−i2−i2−i2−i2i2i2i2−i2i2−i2−i2i2−i2i200000000
χ322222-2-2-2-2222222-2-2-2-20000000022-2-222-2-2-2-22200000000000000000000000000−i2−i2i2i2i2i2−i2−i2−i2i2−i2i2i2−i2i2−i200000000
χ332222-2-2-2-2222222-2-2-2-200000000-2-222-2-222-2-22200000000000000000000000000i2i2−i2−i2i2i2−i2−i2−i2i2−i2i2−i2i2−i2i200000000
χ342222-2-2-2-2222222-2-2-2-200000000-2-222-2-222-2-22200000000000000000000000000−i2−i2i2i2−i2−i2i2i2i2−i2i2−i2i2−i2i2−i200000000
χ352222-2-2-2-2222222-2-2-2-200000000-2-2-2-2222222-2-200000000000000000000000000i2i2−i2−i2−i2−i2i2i2−i2i2−i2i2i2−i2i2−i200000000
χ362222-2-2-2-2222222-2-2-2-200000000-2-2-2-2222222-2-200000000000000000000000000−i2−i2i2i2i2i2−i2−i2i2−i2i2−i2−i2i2−i2i200000000
χ372222-2-2-2-222-2-2-2-222222-2-222-2-22002-22-200000022-2-2-2-222000022-2-200002-20000000000000000000000000000
χ382222-2-2-2-222-2-2-2-222222-2-222-2-22002-22-2000000-2-22222-2-20000-2-22200002-20000000000000000000000000000
χ392222-2-2-2-222-2-2-2-222222-2-222-2-2200-22-2200000022-2-2-2-2220000-2-2220000-220000000000000000000000000000
χ402222-2-2-2-222-2-2-2-222222-2-222-2-2200-22-22000000-2-22222-2-2000022-2-20000-220000000000000000000000000000
χ412222-2-2-2-222-2-2-2-22222-222-2-222-2002-22-20000000000000022-2-2000022-2-2-220000000000000000000000000000
χ422222-2-2-2-222-2-2-2-22222-222-2-222-2002-22-200000000000000-2-2220000-2-222-220000000000000000000000000000
χ432222-2-2-2-222-2-2-2-22222-222-2-222-200-22-220000000000000022-2-20000-2-2222-20000000000000000000000000000
χ442222-2-2-2-222-2-2-2-22222-222-2-222-200-22-2200000000000000-2-222000022-2-22-20000000000000000000000000000
χ452-2-2222-2-22-22-22-2-2-2222-2-22-222-2000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2-22-200000000002i−2i00000000000000000000000000
χ462-2-2222-2-22-22-22-2-2-2222-2-22-222-2000000002i−2i2i−2i−2i2i−2i2i−2i2i−2i2i-22-2200000000002i−2i00000000000000000000000000
χ472-2-2222-2-22-22-22-2-2-2222-2-22-222-200000000−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i-22-220000000000−2i2i00000000000000000000000000
χ482-2-2222-2-22-22-22-2-2-2222-2-22-222-200000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i2-22-20000000000−2i2i00000000000000000000000000
χ492-2-2222-2-22-22-22-2-2-222-222-22-2-22000000002i−2i2i−2i0000000000002-22-22i−2i2i−2i00−2i2i00000000000000000000000000
χ502-2-2222-2-22-22-22-2-2-222-222-22-2-22000000002i−2i2i−2i000000000000-22-22−2i2i−2i2i00−2i2i00000000000000000000000000
χ512-2-2222-2-22-22-22-2-2-222-222-22-2-2200000000−2i2i−2i2i0000000000002-22-2−2i2i−2i2i002i−2i00000000000000000000000000
χ522-2-2222-2-22-22-22-2-2-222-222-22-2-2200000000−2i2i−2i2i000000000000-22-222i−2i2i−2i002i−2i00000000000000000000000000
χ532-2-222-2-22-222-2-22-222-22-22-222-2-20000000000002-22-2-22-2200000000000000000000002i−2i2i−2i00000000002i−2i0000
χ542-2-222-2-22-222-2-22-222-22-22-222-2-20000000000002-22-2-22-220000000000000000000000−2i2i−2i2i0000000000−2i2i0000
χ552-2-222-2-22-222-2-22-222-22-22-222-2-2000000000000-22-222-22-200000000000000000000002i−2i2i−2i0000000000−2i2i0000
χ562-2-222-2-22-222-2-22-222-22-22-222-2-2000000000000-22-222-22-20000000000000000000000−2i2i−2i2i00000000002i−2i0000
χ572-2-22-222-2-22-222-2-222-222-2-22-22-20000000000002-2-222-2-220000000000000000002i−2i2i−2i0000000000002i−2i000000
χ582-2-22-222-2-22-222-2-222-222-2-22-22-20000000000002-2-222-2-22000000000000000000−2i2i−2i2i000000000000−2i2i000000
χ592-2-22-222-2-22-222-2-222-222-2-22-22-2000000000000-222-2-222-20000000000000000002i−2i2i−2i000000000000−2i2i000000
χ602-2-22-222-2-22-222-2-222-222-2-22-22-2000000000000-222-2-222-2000000000000000000−2i2i−2i2i0000000000002i−2i000000
χ612-2-22-2-2222-2-22-22-2-2222222-2-2-2-22-200002-200002i−2i−2i2i−2i2i2i−2i000000002i−2i−2i2i00002-2000000000000000000000000
χ622-2-22-2-2222-2-22-22-2-2222222-2-2-2-22-200002-20000−2i2i2i−2i2i−2i−2i2i00000000−2i2i2i−2i00002-2000000000000000000000000
χ632-2-22-2-2222-2-22-22-2-2222222-2-2-2-2-220000-2200002i−2i−2i2i−2i2i2i−2i00000000−2i2i2i−2i0000-22000000000000000000000000
χ642-2-22-2-2222-2-22-22-2-2222222-2-2-2-2-220000-220000−2i2i2i−2i2i−2i−2i2i000000002i−2i−2i2i0000-22000000000000000000000000
χ652-2-22-2-2222-2-22-22-2-222-2-2-2-222222-200002-20000000000002-2-222-2-2200000000-22000000000000000000000000
χ662-2-22-2-2222-2-22-22-2-222-2-2-2-222222-200002-2000000000000-222-2-222-200000000-22000000000000000000000000
χ672-2-22-2-2222-2-22-22-2-222-2-2-2-22222-220000-220000000000002-2-22-222-2000000002-2000000000000000000000000
χ682-2-22-2-2222-2-22-22-2-222-2-2-2-22222-220000-22000000000000-222-22-2-22000000002-2000000000000000000000000
χ694444444444-4-4-4-4-4-4-4-400000000004-4-4400000000000000000000000000000000000000000000000000000000
χ704444444444-4-4-4-4-4-4-4-40000000000-444-400000000000000000000000000000000000000000000000000000000
χ7144444-44-4-4-444-4-44-44-4-4-4444-44-400000000000000000000000000000000000000000000000000000000000000
χ7244444-44-4-4-4-4-444-44-4400000000000000000000000000000000000000000000000000000000002i2−2i2−2i22i200000000
χ7344444-44-4-4-4-4-444-44-440000000000000000000000000000000000000000000000000000000000−2i22i22i2−2i200000000
χ744444-44-44-4-444-4-4-44-440000000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000
χ754444-44-44-4-444-4-4-44-44000000000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000
χ764444-44-44-4-4-4-4444-44-4-44-4444-4-400000000000000000000000000000000000000000000000000000000000000
χ774-4-4444-4-44-4-44-4444-4-4000000004-40000-44000000000000000000000000000000000000000000000000000000
χ784-4-4444-4-44-4-44-4444-4-400000000-4400004-4000000000000000000000000000000000000000000000000000000
χ794-4-444-4-44-444-4-44-444-4-44-44-4-44400000000000000000000000000000000000000000000000000000000000000
χ804-4-444-4-44-44-444-44-4-44000000000000000000000000000000000000000000000022−22−222200000000000000000000
χ814-4-444-4-44-44-444-44-4-440000000000000000000000000000000000000000000000−222222−2200000000000000000000
χ824-4-44-444-4-444-4-444-4-440000000000000000000000000000000000000000000000000022−22−22220000000000000000
χ834-4-44-444-4-444-4-444-4-4400000000000000000000000000000000000000000000000000−222222−220000000000000000
χ844-4-44-444-4-44-444-4-444-4-4-444-44-4400000000000000000000000000000000000000000000000000000000000000
χ854-4-44-4-4444-44-44-444-4-400000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000
χ864-4-44-4-4444-44-44-444-4-40000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000
χ871616-16-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8816-1616-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).